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On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 2013-07-16)
We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the non-trivial degeneration limit where one torus is pinched down ...
Ray W Ogden: An Appreciation
(SAGE Publications, 2015-07)
This special issue of Mathematics and Mechanics of Solids is dedicated to Professor Ray Ogden FRS on the occasion
of his 70th birthday. It is a companion volume to another special issue edited by our colleagues ...
On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter
(Nature Publishing Group, 2016-04-26)
Living matter can functionally adapt to external physical factors by developing internal tensions, easily revealed by cutting experiments. Nonetheless, residual stresses intrinsically have a complex spatial distribution, ...
Multiples of Pfister forms
(Elsevier, 2016-03-01)
The isotropy of multiples of Pfister forms is studied. Some classical results are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished. In particular, ...
Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion
(Elsevier, 2016-07-18)
We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear ...
Introduction to the special issue on stability under finite deformation
(Oxford University Press, 2010)
In the botanical gardens of Grenoble, France, there is small bridge, just a few metres long, made of pre-stressed concrete. The bridge dates back to 1855 and is thought to be the oldest manufactured pre-stressed structure ...
An algorithm for the unit group of the Burnside ring of a finite group
(Cambridge University Press, 2007-01)
In this note we present an algorithm for the construction of the unit group of
the Burnside ring Ω(G) of a finite group G from a list of representatives of the
conjugacy classes of subgroups of G.
A note on element centralizers in finite Coxeter groups
(De Gruyter, 2011-08-29)
The normalizer N-W(W-J) of a standard parabolic subgroup W-J of a finite Coxeter group W splits over the parabolic subgroup with complement N-J consisting of certain minimal length coset representatives of W-J in W. In ...
Computing the table of marks of a cyclic extension
(American Mathematical Society, 2012-02-24)
The subgroup pattern of a finite group C is the table of marks of G together with a list of representatives of the conjugacy classes of subgroups of G. In this article we present an algorithm for the computation of the ...
Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight
(Elsevier, 2014-11-06)
In this paper we extend the computations in parts I and II of this series of papers and complete the proof of a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the p-th graded ...